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Finding the Fourth Proportional to 11,413.59, 15,750.09 and 6,697.50

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Solution

The fourth proportional to 11,413.59, 15,750.09 and 6,697.50 is: 9,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413.59 : 15,750.09 = 6,697.50 : x
  2. Step 2: Convert to fraction form
    11,413.59/15,750.09 = 6,697.50/x
  3. Step 3: Cross multiply
    11,413.59x = 15,750.09 × 6,697.50
  4. Step 4: Simplify right side
    11,413.59x = 105,486,227.78
  5. Step 5: Solve for x
    x = 105,486,227.78/11,413.59
  6. Step 6: Final answer
    x = 9,242.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.